The equation of the function, g(x) from the task content is; g(x) = -x/25 + 203/25.
<h3>
What is the equation of the function g(x)?</h3>
From observation of the function, f(x), it follows that the slope of f(x) is 25. Hence, it follows that the slope of g(x) is; -1/25 since both functions are perpendicular to each other.
Therefore, the equation for g(x) is;
-1/25 = (y-8)/(x-3)
25y -200 = -x +3
Hence, y = -x/25 + 203/25.
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The following expressions (1+cosβ)(1−cosβ)sinβ is equivalent to sin³β
<h3>What are Trigonometric Ratios ?</h3>
In a Right angled triangle , trigonometric ratios can be used to determine the value of angles and sides of the triangle.
The trigonometric expression given in the question is
(1+cosβ)(1−cosβ)sinβ
(a+b)(a-b) = a² - b²
( 1 - cos²β)sinβ
By the trigonometric Identity
1-cos²β = sin² β
sin² β x sin β
sin³β
Therefore Option B is the correct answer.
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Answer:
Angles 2 and 4
Angles 3 and 1
Angles 5 and 7
Angles 6 and 8
Angles 10 and 12
Angles 11 and 9
Step-by-step explanation:
x^5 since there are 5 x's multiplied together
the base is x and the exponent is 5
Answer: The marked price is 40% more than the original price
40% - 25% = 15% or 1450
Marked price = 140%
140 × 1450 ÷ 15 = 13533. 33
Step-by-step explanation: